The Taoiseach says Fianna Fáil parliamentary party members rarely agree unanimously on who should lead them.
It follows reports that as many as 15 of the party's TDs would support a motion of no confidence in him.
Meanwhile, an internal report into the party's recent poor general election performance found that members feel the party has no clear identity.
The report is first on the agenda at the party's think-in in Cavan which got underway this afternoon.
Speaking on his way into the meeting, Taoiseach Michael Martin was asked if concerned that some TDs are unhappy with his leadership.
He said: "I've been a member of the parliamentary party for many, many years - I've rarely if ever seen unanimity on the question of many issues, including who leads the party. That's not news.
"It's my job to listen, and I think what's important coming out of this meeting is that the party unites."
Fianna Fáil surveyed around 2,700 party members ahead of this week's think-in.
It found that the majority of members blame its recent election performances on the decision to prop up the Fine Gael Government from 2016 to 2020.
The party picked up less than 5% of first preference votes in July's Dublin Bay South by-election - a showing that led to a small number of the party's TDs calling for Mr Martin to resign as party leader.
